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Balanced Incomplete Block Design (Bibd) Using Hadamard Rhotrices


Affiliations
1 Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla - 171005, India
     

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Hadamard matrices have received much attention in the recent past, owing to their well-known and promising applications. Various researchers have used Hadamard matrices to find their applications in image analysis, signal processing, coding theory, cryptology and combinatorial designs. Now, Hadamard rhotrices have been introduced in the literature for the above said applications. Balanced incomplete block design has its wide use in design of experiments in statistics and error-correcting codes. Design of experiments has broad applications across all the natural and social sciences, and engineering. Here, in the present paper, we develop balanced incomplete block design (BIBD) using Hadamard rhotrices.

Keywords

Hadamard Matrix, Hadamard Rhotrix, Incidence Matrix, Balanced Incomplete Block Design.
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  • Balanced Incomplete Block Design (Bibd) Using Hadamard Rhotrices

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Authors

P. L. Sharma
Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla - 171005, India
S. Kumar
Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla - 171005, India

Abstract


Hadamard matrices have received much attention in the recent past, owing to their well-known and promising applications. Various researchers have used Hadamard matrices to find their applications in image analysis, signal processing, coding theory, cryptology and combinatorial designs. Now, Hadamard rhotrices have been introduced in the literature for the above said applications. Balanced incomplete block design has its wide use in design of experiments in statistics and error-correcting codes. Design of experiments has broad applications across all the natural and social sciences, and engineering. Here, in the present paper, we develop balanced incomplete block design (BIBD) using Hadamard rhotrices.

Keywords


Hadamard Matrix, Hadamard Rhotrix, Incidence Matrix, Balanced Incomplete Block Design.